Distributed Finite-Time Leader-Following Consensus Control for Multi-Agent Systems with Markov Switching Topologies

This paper, targeting multi-agent systems with Markov switching topologies, proposes a mode separation-based distributed finite-time leader-following consensus controller design method based on distributed consensus theory. This method not only eliminates the restriction of synchronizing the controller modes with the communication topology, allowing fewer controllers to manage a larger number of systems, but also achieves smaller settling time. Through theoretical analysis, this paper clearly reveals the consistency, convergence, and specific computation methods for the settling time of the proposed control strategy. Furthermore, simulation results validate the effectiveness and superiority of the proposed strategy.